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Comparing constraint programming and mathematical programming approaches to discrete optimisation—the change problem

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  • S Heipcke

    (School of Business, University of Buckingham)

Abstract

This paper is aimed at researchers and practitioners in Operational Research who are interested in the new field of Constraint Programming/Constraint Logic Programming. Due to differing terminology and problem representation they might have found it difficult to access the field. The paper focuses on discrete optimisation problems. The first part lists frequently used terms in Constraint Programming (CP), contrasting them with their counterparts in Mathematical Programming (MP). The second part explains some of the most important concepts and techniques in more detail by comparing the CP and MP implementations of a small example problem, the ‘Change Problem’. It includes an overview of the respective results. In conclusion a more generalised comparison of CP and MP techniques is given.

Suggested Citation

  • S Heipcke, 1999. "Comparing constraint programming and mathematical programming approaches to discrete optimisation—the change problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(6), pages 581-595, June.
    • Handle: RePEc:pal:jorsoc:v:50:y:1999:i:6:d:10.1057_palgrave.jors.2600730
    DOI: 10.1057/palgrave.jors.2600730
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    Cited by:

    1. Enayaty-Ahangar, Forough & Rainwater, Chase E. & Sharkey, Thomas C., 2019. "A Logic-based Decomposition Approach for Multi-Period Network Interdiction Models," Omega, Elsevier, vol. 87(C), pages 71-85.
    2. Vipul Jain & Ignacio E. Grossmann, 2001. "Algorithms for Hybrid MILP/CP Models for a Class of Optimization Problems," INFORMS Journal on Computing, INFORMS, vol. 13(4), pages 258-276, November.
    3. Gedik, Ridvan & Rainwater, Chase & Nachtmann, Heather & Pohl, Ed A., 2016. "Analysis of a parallel machine scheduling problem with sequence dependent setup times and job availability intervals," European Journal of Operational Research, Elsevier, vol. 251(2), pages 640-650.
    4. Robert Ashford, 2007. "Mixed integer programming: A historical perspective with Xpress-MP," Annals of Operations Research, Springer, vol. 149(1), pages 5-17, February.

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